Success TutoringWorksheets

10th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 10th Grade trigonometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Trigonometry

10th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 3 — Answers

Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.

1.In a right triangle, the side adjacent to a 34° angle is 12 m. Find the opposite side, to 1 decimal place.

Answer: 8.1 m

  1. tan 34° = opposite ÷ adjacent
  2. opposite = 12 × tan 34°
  3. ≈ 8.1
2.In a right triangle, the hypotenuse is 10 cm and one angle is 25°. Find the side adjacent to the 25° angle, to 1 decimal place.

Answer: 9.1 cm

  1. cos 25° = adjacent ÷ hypotenuse
  2. adjacent = 10 × cos 25°
  3. ≈ 9.1
3.In a right triangle, the hypotenuse is 30 cm and one angle is 46°. Find the side adjacent to the 46° angle, to 1 decimal place.

Answer: 20.8 cm

  1. cos 46° = adjacent ÷ hypotenuse
  2. adjacent = 30 × cos 46°
  3. ≈ 20.8
4.In a right triangle, the side adjacent to a 43° angle is 13 m. Find the opposite side, to 1 decimal place.

Answer: 12.1 m

  1. tan 43° = opposite ÷ adjacent
  2. opposite = 13 × tan 43°
  3. ≈ 12.1
5.In a right triangle, the hypotenuse is 11 cm and one angle is 41°. Find the side adjacent to the 41° angle, to 1 decimal place.

Answer: 8.3 cm

  1. cos 41° = adjacent ÷ hypotenuse
  2. adjacent = 11 × cos 41°
  3. ≈ 8.3
6.In a right triangle, the hypotenuse is 29 cm and one angle is 49°. Find the side adjacent to the 49° angle, to 1 decimal place.

Answer: 19 cm

  1. cos 49° = adjacent ÷ hypotenuse
  2. adjacent = 29 × cos 49°
  3. ≈ 19
7.In a right triangle, the side adjacent to a 60° angle is 20 m. Find the opposite side, to 1 decimal place.

Answer: 34.6 m

  1. tan 60° = opposite ÷ adjacent
  2. opposite = 20 × tan 60°
  3. ≈ 34.6
8.In a right triangle, the side adjacent to a 54° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 20.6 m

  1. tan 54° = opposite ÷ adjacent
  2. opposite = 15 × tan 54°
  3. ≈ 20.6
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: